#include<bits/stdc++.h>
using namespace std;
vector<int>e[300001],vr[300001];
int ch[300001];
int dep[300001],fir[300001],top=0,dfn[600001];
int st[600001][20],lg2[600001];
int up[300001][3],down[300001][3];
inline void dfs(int now)
{
	dfn[++top]=now;
	fir[now]=top;
	for(auto to: e[now])
	{
		dep[to]=dep[now]+1;
		dfs(to);
		dfn[++top]=now;
	}
}
inline int LCA(int u,int v)
{
	u=fir[u];v=fir[v];
	if(u>v)
		swap(u,v);
	int t=lg2[v-u+1];
	int x=st[u][t],y=st[v-(1<<t)+1][t];
	return dep[x]<dep[y]?x:y;
}
vector<pair<int,int>>op;
int bel[300001],fa[300001];
int f[300001],g[300001];
vector<int>point;
int upnode[300001],dwnode[300001],id[300001],vf[300001];
inline void calc(int now)
{
	up[now][ch[now]]++;
	down[now][ch[now]]++;
	for(auto to: e[now])
	{
		for(int i=0;i<3;i++)
			up[to][i]+=up[now][i];
		calc(to);
		for(int i=0;i<3;i++)
			down[now][i]+=down[to][i];
	}
}
struct Block{
	int buf[3001],del;
	int cnt0,cnt2;
	int tagf,tagg;
	long long sumf,sumg;
	inline void init(int L)
	{
		tagf=tagg=0;
		sumf=sumg=0;
		cnt0=cnt2=0;del=L;
		fill(buf,buf+2*L+1,0);
	}
	inline void updateF(int val)
	{
		sumf-=tagf*cnt0;
		tagf+=val;
		sumf+=tagf*cnt0;
	}
	inline void updateG(int val)
	{
		if(val==1)
		{
			sumg+=cnt2;
			tagg++;
			cnt2+=buf[del-tagg];
		}
		else
		{
			cnt2-=buf[del-tagg];
			tagg--;
			sumg-=cnt2;
		}
	}
}B[3001];
int ord[15001],rnk[300001],sz[300001],anc[300001];
inline void getorder(int now)
{
	ord[++top]=now;
	rnk[now]=top;
	sz[now]=1;
	for(auto to: vr[now])
	{
		anc[to]=now;
		getorder(to);
		sz[now]+=sz[to];
	}
}
int main(){
	int n,q;
	scanf("%d %d",&n,&q);
	string str;
	cin>>str;
	for(int i=0;i<n;i++)
		ch[i+1]=(str[i]=='?'?2:(str[i]=='A'?0:1));
	for(int i=2;i<=n;i++)
	{
		int f;
		scanf("%d",&f);
		fa[i]=f;
		e[f].push_back(i);
	}
	dep[1]=1;
	dfs(1);
	for(int i=1;i<=top;i++)
		st[i][0]=dfn[i];
	lg2[0]=-1;
	for(int i=1;i<=top;i++)
		lg2[i]=lg2[i>>1]+1;
	for(int i=1;i<=lg2[top];i++)
		for(int j=1;j+(1<<i)-1<=top;j++)
		{
			int u=st[j][i-1],v=st[j+(1<<(i-1))][i-1];
			st[j][i]=(dep[u]<dep[v]?u:v);
		}
	int L=(int)sqrt(1.00*q);
	//int L=1;
	auto solve=[&]()->void
	{
		//Build of Virtual Tree
		for(auto [x,c]: op)
			point.push_back(x);
		point.push_back(1);
		sort(point.begin(),point.end(),[&](const int &x,const int &y){
			return fir[x]<fir[y];
		});
		point.erase(unique(point.begin(),point.end()),point.end());
		int s=point.size();
		for(int i=0;i<s-1;i++)
			point.push_back(LCA(point[i],point[i+1]));
		sort(point.begin(),point.end(),[&](const int &x,const int &y){
			return fir[x]<fir[y];
		});
		point.erase(unique(point.begin(),point.end()),point.end());
		s=point.size();
		for(int i=0;i<s-1;i++)
		{
			int u=LCA(point[i],point[i+1]);
			vf[i+1]=u;
			vr[u].push_back(point[i+1]);
		}
		//Block
		for(int i=0;i<s;i++)
			id[point[i]]=i+1;
		for(int i=0;i<s;i++)
		{
			int x=point[i];
			while(x!=vf[i])
			{
				dwnode[x]=point[i];
				x=fa[x];
			}
		}
		for(int i=1;i<=n;i++)
			upnode[i]=(id[i]?i:upnode[fa[i]]);
		int Bnum=0;
		for(int i=1;i<=n;i++)
			if(!id[i])
			{
				bel[i]=(dwnode[i]?id[dwnode[i]]:id[upnode[i]]+s);
				Bnum=max(Bnum,bel[i]);
			}
		for(int i=1;i<=2*s;i++)
			B[i].init(L);
		//Calculate
		top=0;
		getorder(1);
		long long ans=0;
		for(int i=1;i<=n;i++)
		{
			int Bid=bel[i];
			if(!Bid)
			{
				ans+=(ch[i]==0)*f[i]+(ch[i]==2)*max(g[i],0);
				continue;
			}
			if(ch[i]==0)
			{
				B[Bid].sumf+=f[i];
				B[Bid].cnt0++;
			}
			if(ch[i]==2)
			{
				B[Bid].sumg+=max(g[i],0);
				if(g[i]>=0)
					B[Bid].cnt2++;
				if(g[i]>=-L&&g[i]<=L)
					B[Bid].buf[g[i]+L]++;
			}
		}
		for(int i=1;i<=Bnum;i++)
			ans+=B[i].sumf+B[i].sumg;
		auto updateU=[&](int x,int op)->void
		{
			auto change=[&](int x,int op)->void
			{
				ans-=B[x].sumf+B[x].sumg;
				B[x].updateF(op);B[x].updateG(op);
				ans+=B[x].sumf+B[x].sumg;	
			};
			change(id[x],op);
			while(anc[x])
			{
				x=anc[x];
				change(id[x],op);
				ans-=(ch[x]==0)*f[x]+(ch[x]==2)*max(g[x],0);
				f[x]+=op;g[x]+=op;
				ans+=(ch[x]==0)*f[x]+(ch[x]==2)*max(g[x],0);
			}
		};
		auto updateD=[&](int x,int op)->void
		{
			int st=rnk[x]+1,ed=rnk[x]+sz[x]-1;
			auto change=[&](int x,int op)->void
			{
				ans-=B[x].sumg;
				B[x].updateG(op);
				ans+=B[x].sumg;	
			};
			change(id[x]+s,op);
			for(int i=st;i<=ed;i++)
			{
				int u=ord[i];
				change(id[u],op);change(id[u]+s,op);
				ans-=(ch[u]==2)*max(g[u],0);
				g[u]+=op;
				ans+=(ch[u]==2)*max(g[u],0);
			}
		};
		auto updateN=[&](int x,int typ,int op)->void
		{
			if(typ==0)
				ans+=op*f[x],g[x]-=op;
			else if(typ==1)
				f[x]+=op,g[x]+=op;
			else
				f[x]+=op,ans+=op*max(g[x],0);
		};
		for(auto [x,c]: op)
		{
			if(ch[x]!=c)
			{
				updateN(x,ch[x],-1);
				if(ch[x]!=0) updateU(x,-1);
				if(ch[x]!=1) updateD(x,1);
				ch[x]=c;
				if(ch[x]!=0) updateU(x,1);
				if(ch[x]!=1) updateD(x,-1);
				updateN(x,ch[x],1);
			}
			printf("%lld\n",ans);
		}
		//Clear
		for(int i=1;i<=n;i++)
		{
			f[i]+=B[bel[i]].tagf;g[i]+=B[bel[i]].tagg;
			id[i]=bel[i]=anc[i]=upnode[i]=dwnode[i]=0;
			for(int j=0;j<3;j++)
				up[i][j]=down[i][j]=0;
		}
		for(int i=1;i<s;i++)
			vr[vf[i]].clear();
		op.clear();point.clear();
	};
	calc(1);
	for(int i=1;i<=n;i++)
	{
		f[i]=down[i][1]+down[i][2];
		g[i]=down[i][1]+down[i][2]-up[i][0]-up[i][2];
	}
	for(int i=1;i<=q;i++)
	{
		int x;
		char c;
		scanf("%d %c",&x,&c);
		op.push_back({x,(c=='?'?2:(c=='A'?0:1))});
		if(i%L==0||i==q)
			solve();
	}
	
    return 0;
}